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SageMath
E = EllipticCurve("a1")
E.isogeny_class()
Elliptic curves in class 819.a
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
819.a1 | 819d1 | \([0, 0, 1, 22857, 4273542]\) | \(1811564780171264/11870974573731\) | \(-8653940464249899\) | \([]\) | \(5376\) | \(1.7398\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 819.a1 has rank \(0\).
Complex multiplication
The elliptic curves in class 819.a do not have complex multiplication.Modular form 819.2.a.a
sage: E.q_eigenform(10)